Melbourne's Royal Children's Hospital has settled a negligence case brought by a nine-year-old girl.

The hospital was being sued after a doctor failed to correctly diagnose meningococcal disease when Venice Kowalczyk was nine months old in 2004.

The Supreme Court was told the girl, who is now nine, is grossly disabled.

She had both of her lower legs amputated and also lost part of her left arm and three fingers on her other hand.

The jury was asked to award significant damages.

Supreme Court Justice David Beach approved the terms of the confidential agreement at a hearing today.

Lawyer Anne Shortall say it has been a long and difficult case for the family.

"It really means that Venice will be able to receive the high level of care that she will require for decades to come," she said in a statement.

"The family can now put this legal action behind them and they hope that the tragic circumstances of their beloved daughter Venice's injury have helped raise awareness around the early warning signs of meningococcal disease."